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Finding the Fourth Proportional to 2,770.94, 4,154.86 and 1,125.56

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Solution

The fourth proportional to 2,770.94, 4,154.86 and 1,125.56 is: 1,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.94 : 4,154.86 = 1,125.56 : x
  2. Step 2: Convert to fraction form
    2,770.94/4,154.86 = 1,125.56/x
  3. Step 3: Cross multiply
    2,770.94x = 4,154.86 × 1,125.56
  4. Step 4: Simplify right side
    2,770.94x = 4,676,556.02
  5. Step 5: Solve for x
    x = 4,676,556.02/2,770.94
  6. Step 6: Final answer
    x = 1,687.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.